anonymous
  • anonymous
Please help. I need help with a couple of questions. I will give medal and fan.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
A toy rocket was launched from the ground. The function f(x) = -16x^2 + 192x shows the height of the rocket f(x), in feet, from the ground at time x seconds. What is the axis of symmetry of the graph of f(x), and what does it represent? x = 12; it takes 12 seconds to reach the maximum height and 12 seconds to fall back to the ground x = 12; it takes 12 seconds to reach the maximum height and 24 seconds to fall back to the ground x = 6; it takes 6 seconds to reach the maximum height and 6 seconds to fall back to the ground x = 6; it takes 6 seconds to reach the maximum height and 3 seconds to fall back to the ground
anonymous
  • anonymous
I think its either C or D
anonymous
  • anonymous
i think it is not a 100% sure though

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anonymous
  • anonymous
can you help me with a couple more?
anonymous
  • anonymous
yeah i will try
anonymous
  • anonymous
Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 10x + 25 In which direction and by how many units should f(x) be shifted to obtain g(x)? Right by 5 units Left by 5 units Right by 10 units Left by 10 units
Vocaloid
  • Vocaloid
hint: (x^2 + 10x + 25) = (x+5)^2
anonymous
  • anonymous
so would it be D?
Vocaloid
  • Vocaloid
nope, please look carefully at what I wrote (x+k)^2 moves the graph x^2 to the left k units
anonymous
  • anonymous
OK, B?
Vocaloid
  • Vocaloid
yes, B is the answer, but do you understand how to get (x+5)^2?
anonymous
  • anonymous
can you explain it a little, I sort of forgot.
Vocaloid
  • Vocaloid
have you seen this formula? (a+b)^2 = a^2 + 2ab + b^2?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
great! in the equation x^2 + 10x + 25, do you see how x = a and b = 5? when you plug in x for a and b for 5, do you see how x^2 + 10x + 25 = (x+5)^2? this is called "factoring", basically you want to find a and b so you can simplify x^2 + 10x + 25 into (x+5)^2
anonymous
  • anonymous
oh, I remember thanks!
anonymous
  • anonymous
do you mind helping me with a couple more?
Vocaloid
  • Vocaloid
sure, I guess
anonymous
  • anonymous
The steps to derive the quadratic formula are shown below: Which of the following statements best describes the first incorrect step? In Step 4, square of quantity of b over 2 times a instead of b over 2 times a was added on both sides. In Step 5, x plus b over 2 times a, all squared was written instead of x plus b over 4a, all square. In Step 6, c over a was written instead of -c over a inside the root. In Step 7, square of quantity of b over 2 times a was written instead of b over 2 times a inside the root.
Vocaloid
  • Vocaloid
http://www.purplemath.com/modules/sqrquad2.htm
Vocaloid
  • Vocaloid
NOTE: I got this from a website, I didn't write this out myself, but these are the steps to derive the quadratic equation
anonymous
  • anonymous
David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the soccer ball reaches?
anonymous
  • anonymous
for this one I know you plug in the 35 for v but what do you plug in for s?
Vocaloid
  • Vocaloid
v = initial velocity = 35, s = initial height = 0
Vocaloid
  • Vocaloid
an object on the ground has a height of 0
Vocaloid
  • Vocaloid
initial height = 0, because the ball is on the ground
anonymous
  • anonymous
ok I can do this one by myself
Vocaloid
  • Vocaloid
k cool
anonymous
  • anonymous
can you help me with 3 more?
Vocaloid
  • Vocaloid
ok
anonymous
  • anonymous
Water coming out from a fountain is modeled by the function f(x) = -x2 + 7x + 5 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x = 4 to x = 6 represent? The water falls down with an average speed of 5 feet per second from 4 seconds to 6 seconds. The water falls down with an average speed of 3 feet per second from 4 seconds to 6 seconds. The water travels an average distance of 5 feet from 4 seconds to 6 seconds. The water travels an average distance of 3 feet from 4 seconds to 6 seconds.
anonymous
  • anonymous
If 5p = -100 + 3Q2, which of the following could Q possibly be? Q = square root of 5p-100/ 3 Q = square root of 5p+100/3 Q = square root of -5p+100/ 3 Q = square root of -5p-100/ 3
Vocaloid
  • Vocaloid
this one is a bit tough to explain but I'll try average rate of change = speed = distance/time the average rate of change between x = 6 seconds and x = 4 seconds = distance travelled between 4 to 6 seconds/(6-4 seconds) = [f(6)-f(4)]/(6-4)
Vocaloid
  • Vocaloid
and for the second one: 5p = -100 + 3Q^2 all you're doing is solving for Q in terms of p add 100 to each side divide each side by 3 take the square root of each side to find Q
anonymous
  • anonymous
35p=q^2 I got 5.9160797830996160425673282915616 when I did the square root of 35
Vocaloid
  • Vocaloid
??? I think you're confused, can I try outlining it step by step?
anonymous
  • anonymous
sorry I got confused I understand now.
Vocaloid
  • Vocaloid
|dw:1432846015012:dw|
anonymous
  • anonymous
the answer I got is B
Vocaloid
  • Vocaloid
yup! good job
anonymous
  • anonymous
|dw:1432846126778:dw|
anonymous
  • anonymous
I have one more. Do you think you can help me?
anonymous
  • anonymous
What is the domain of the following parabola? x ≥ 2 x ≤ -1 y ≤ 3 All real numbers
Vocaloid
  • Vocaloid
are there any x values that don't have y values?

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